20101011002001 has 64 divisors (see below), whose sum is σ = 31208449536000. Its totient is φ = 12762706239360.

The previous prime is 20101011001979. The next prime is 20101011002021. The reversal of 20101011002001 is 10020011010102.

It is a happy number.

It is not a de Polignac number, because 20101011002001 - 2¹⁴ = 20101010985617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20101011002021) 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, 133780845 + ... + 133931013.

It is an arithmetic number, because the mean of its divisors is an integer number (487632024000).

Almost surely, 2^{20101011002001} is an apocalyptic number.

It is an amenable number.

20101011002001 is a deficient number, since it is larger than the sum of its proper divisors (11107438533999).

20101011002001 is a wasteful number, since it uses less digits than its factorization.

20101011002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151131 (or 151125 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101011002001 its reverse (10020011010102), we get a palindrome (30121022012103).

It can be divided in two parts, 201010 and 11002001, that added together give a triangular number (11203011 = T₄₇₃₃).

The spelling of 20101011002001 in words is "twenty trillion, one hundred one billion, eleven million, two thousand, one".