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10121102200212 = 2238397332931469
BaseRepresentation
bin1001001101001000000010…
…1100111000110110010100
31022211120100000101102202220
42103102000230320312110
52311311004130401322
633305323053302340
72063140230145353
oct223220054706624
938746300342686
1010121102200212
113252376376503
1211756547949b0
135855537b3b63
1426dc149c799a
15128416a6655c
hex93480b38d94

10121102200212 has 96 divisors (see below), whose sum is σ = 24154851369600. Its totient is φ = 3297596669952.

The previous prime is 10121102200193. The next prime is 10121102200243. The reversal of 10121102200212 is 21200220112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121102200191 and 10121102200200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321605614 + ... + 321637082.

It is an arithmetic number, because the mean of its divisors is an integer number (251613035100).

Almost surely, 210121102200212 is an apocalyptic number.

10121102200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121102200212 is an abundant number, since it is smaller than the sum of its proper divisors (14033749169388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121102200212 is a wasteful number, since it uses less digits than its factorization.

10121102200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34985 (or 34983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121102200212 its reverse (21200220112101), we get a palindrome (31321322312313).

The spelling of 10121102200212 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 83 97 166 194 249 291 332 388 498 582 996 1164 3329 6658 8051 9987 13316 16102 19974 24153 31469 32204 39948 48306 62938 94407 96612 125876 188814 276307 322913 377628 552614 645826 828921 968739 1105228 1291652 1657842 1937478 2611927 3052493 3315684 3874956 5223854 6104986 7835781 9157479 10447708 12209972 15671562 18314958 26801779 31343124 36629916 53603558 80405337 104760301 107207116 160810674 209520602 253356919 314280903 321621348 419041204 506713838 628561806 760070757 1013427676 1257123612 1520141514 3040283028 8695104983 10161749197 17390209966 20323498394 26085314949 30485247591 34780419932 40646996788 52170629898 60970495182 104341259796 121940990364 843425183351 1686850366702 2530275550053 3373700733404 5060551100106 10121102200212