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101021112212 = 222922927713729
BaseRepresentation
bin101111000010101010…
…0111101011110010100
3100122202100001012212112
41132011110331132110
53123342401042322
6114224121010152
710204253200016
oct1360524753624
9318670035775
10101021112212
113992a869899
12176b3923958
1396ac22c357
144c649061b6
152963bdb5e2
hex178553d794

101021112212 has 48 divisors (see below), whose sum is σ = 184358202000. Its totient is φ = 48377032704.

The previous prime is 101021112167. The next prime is 101021112221. The reversal of 101021112212 is 212211120101.

101021112212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 71301136 + 100949811076 = 8444^2 + 317726^2 .

It is a super-2 number, since 2×1010211122122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7351364 + ... + 7365092.

It is an arithmetic number, because the mean of its divisors is an integer number (3840795875).

Almost surely, 2101021112212 is an apocalyptic number.

It is an amenable number.

101021112212 is a deficient number, since it is larger than the sum of its proper divisors (83337089788).

101021112212 is a wasteful number, since it uses less digits than its factorization.

101021112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14268 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021112212 its reverse (212211120101), we get a palindrome (313232232313).

The spelling of 101021112212 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 229 277 458 554 916 1108 6641 8033 13282 13729 16066 26564 27458 32132 54916 63433 126866 253732 398141 796282 1592564 1839557 3143941 3679114 3802933 6287882 7358228 7605866 12575764 15211732 91174289 110285057 182348578 220570114 364697156 441140228 870871657 1741743314 3483486628 25255278053 50510556106 101021112212