101002021122211 has 96 divisors (see below), whose sum is σ = 118843681904640. Its totient is φ = 85624308000000.

The previous prime is 101002021122199. The next prime is 101002021122221. The reversal of 101002021122211 is 112221120200101.

It is not a de Polignac number, because 101002021122211 - 2⁵ = 101002021122179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002021122221) 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, 5113757586 + ... + 5113777336.

It is an arithmetic number, because the mean of its divisors is an integer number (1237955019840).

Almost surely, 2^{101002021122211} is an apocalyptic number.

101002021122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101002021122211 is a deficient number, since it is larger than the sum of its proper divisors (17841660782429).

101002021122211 is a wasteful number, since it uses less digits than its factorization.

101002021122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20257 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101002021122211 its reverse (112221120200101), we get a palindrome (213223141322312).

The spelling of 101002021122211 in words is "one hundred one trillion, two billion, twenty-one million, one hundred twenty-two thousand, two hundred eleven".