101211210112002 has 16 divisors (see below), whose sum is σ = 211223395016640. Its totient is φ = 32270240905232.

The previous prime is 101211210111943. The next prime is 101211210112009. The reversal of 101211210112002 is 200211012112101.

It is a happy number.

It is a super-3 number, since 3×101211210112002³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211210112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366707282877 + ... + 366707283152.

It is an arithmetic number, because the mean of its divisors is an integer number (13201462188540).

Almost surely, 2^{101211210112002} is an apocalyptic number.

101211210112002 is an abundant number, since it is smaller than the sum of its proper divisors (110012184904638).

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

101211210112002 is a wasteful number, since it uses less digits than its factorization.

101211210112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733414566057.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211210112002 its reverse (200211012112101), we get a palindrome (301422222224103).

The spelling of 101211210112002 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, two".