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10121220001221 = 3722910985925357
BaseRepresentation
bin1001001101001000011110…
…1110010000110111000101
31022211120122020001100101020
42103102013232100313011
52311311224310014341
633305342502221353
72063143160350500
oct223220756206705
938746566040336
1010121220001221
11325242691610a
121175688124859
1358557201abb4
1426dc264d0137
15128422085566
hex93487b90dc5

10121220001221 has 96 divisors (see below), whose sum is σ = 16408248912000. Its totient is φ = 5526231879168.

The previous prime is 10121220001181. The next prime is 10121220001253. The reversal of 10121220001221 is 12210002212101.

It is not a de Polignac number, because 10121220001221 - 27 = 10121220001093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121220001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121220021221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399136275 + ... + 399161631.

It is an arithmetic number, because the mean of its divisors is an integer number (170919259500).

Almost surely, 210121220001221 is an apocalyptic number.

It is an amenable number.

10121220001221 is a deficient number, since it is larger than the sum of its proper divisors (6287028910779).

10121220001221 is a wasteful number, since it uses less digits than its factorization.

10121220001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26371 (or 26364 counting only the distinct ones).

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

Adding to 10121220001221 its reverse (12210002212101), we get a palindrome (22331222213322).

The spelling of 10121220001221 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 29 49 87 109 147 203 327 609 763 859 1421 2289 2577 3161 4263 5341 6013 9483 16023 18039 22127 24911 25357 42091 66381 74733 76071 93631 126273 154889 174377 177499 280893 464667 523131 532497 655417 735353 1220639 1242493 1966251 2206059 2715299 2763913 3661917 3727479 4587919 5147471 8145897 8291739 13763757 15442413 19007093 19347391 21781663 36032297 57021279 58042173 65344989 80153477 108096891 133049651 135431737 152471641 240460431 399148953 406295211 457414923 561074339 631668227 1067301487 1683223017 1895004681 2374201267 3201904461 3927520373 4421677589 7122603801 11782561119 13265032767 16619408869 30951743123 49858226607 68851836743 92855229369 116335862083 206555510229 349007586249 481962857201 1445888571603 3373740000407 10121220001221