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100212100012221 = 33116725125706741
BaseRepresentation
bin10110110010010001110010…
…100111111001100010111101
3111010211011221112220112002220
4112302101302213321202331
5101113333340100342341
6553044445254035553
730052041154405641
oct2662216247714275
9433734845815086
10100212100012221
1129a26792a2967a
12b2a5939648bb9
1343bbc64245b62
141aa6411d06c21
15b8bb3016ca66
hex5b24729f98bd

100212100012221 has 32 divisors (see below), whose sum is σ = 139305040551936. Its totient is φ = 64009782600000.

The previous prime is 100212100012217. The next prime is 100212100012231. The reversal of 100212100012221 is 122210001212001.

It is not a de Polignac number, because 100212100012221 - 22 = 100212100012217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100212100012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100012231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8955090 + ... + 16751651.

It is an arithmetic number, because the mean of its divisors is an integer number (4353282517248).

Almost surely, 2100212100012221 is an apocalyptic number.

It is an amenable number.

100212100012221 is a deficient number, since it is larger than the sum of its proper divisors (39092940539715).

100212100012221 is a wasteful number, since it uses less digits than its factorization.

100212100012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25707193.

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

Adding to 100212100012221 its reverse (122210001212001), we get a palindrome (222422101224222).

The spelling of 100212100012221 in words is "one hundred trillion, two hundred twelve billion, one hundred million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 31 93 167 251 501 753 5177 7781 15531 23343 41917 125751 1299427 3898281 25706741 77120223 796908971 2390726913 4293025747 6452391991 12879077241 19357175973 133083798157 200024151721 399251394471 600072455163 1077549462497 3232648387491 33404033337407 100212100012221