101002120212201 has 96 divisors (see below), whose sum is σ = 159403170419712. Its totient is φ = 56605192151040.

The previous prime is 101002120212121. The next prime is 101002120212283. The reversal of 101002120212201 is 102212021200101.

It is not a de Polignac number, because 101002120212201 - 2¹⁹ = 101002119687913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002120212401) 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, 3012004831 + ... + 3012038363.

It is an arithmetic number, because the mean of its divisors is an integer number (1660449691872).

Almost surely, 2^{101002120212201} is an apocalyptic number.

It is an amenable number.

101002120212201 is a deficient number, since it is larger than the sum of its proper divisors (58401050207511).

101002120212201 is a wasteful number, since it uses less digits than its factorization.

101002120212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44883 (or 44870 counting only the distinct ones).

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

Adding to 101002120212201 its reverse (102212021200101), we get a palindrome (203214141412302).

The spelling of 101002120212201 in words is "one hundred one trillion, two billion, one hundred twenty million, two hundred twelve thousand, two hundred one".