100102012211201 has 32 divisors (see below), whose sum is σ = 140246297468928. Its totient is φ = 68870949618240.

The previous prime is 100102012211147. The next prime is 100102012211207. The reversal of 100102012211201 is 102112210201001.

It is not a de Polignac number, because 100102012211201 - 2¹⁴ = 100102012194817 is a prime.

It is a super-3 number, since 3×100102012211201³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102012211207) 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, 2173933721 + ... + 2173979766.

It is an arithmetic number, because the mean of its divisors is an integer number (4382696795904).

Almost surely, 2^{100102012211201} is an apocalyptic number.

100102012211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102012211201 is a deficient number, since it is larger than the sum of its proper divisors (40144285257727).

100102012211201 is a wasteful number, since it uses less digits than its factorization.

100102012211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347913541.

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

Adding to 100102012211201 its reverse (102112210201001), we get a palindrome (202214222412202).

The spelling of 100102012211201 in words is "one hundred trillion, one hundred two billion, twelve million, two hundred eleven thousand, two hundred one".