101002002212111 has 64 divisors (see below), whose sum is σ = 144468368916480. Its totient is φ = 67995952122240.

The previous prime is 101002002212101. The next prime is 101002002212143. The reversal of 101002002212111 is 111212200200101.

It is a cyclic number.

It is not a de Polignac number, because 101002002212111 - 2³⁰ = 101000928470287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002212101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30412895 + ... + 33570048.

It is an arithmetic number, because the mean of its divisors is an integer number (2257318264320).

Almost surely, 2^{101002002212111} is an apocalyptic number.

101002002212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101002002212111 is a deficient number, since it is larger than the sum of its proper divisors (43466366704369).

101002002212111 is a wasteful number, since it uses less digits than its factorization.

101002002212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63983076.

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

Adding to 101002002212111 its reverse (111212200200101), we get a palindrome (212214202412212).

The spelling of 101002002212111 in words is "one hundred one trillion, two billion, two million, two hundred twelve thousand, one hundred eleven".