102002021012001 has 64 divisors (see below), whose sum is σ = 150169619229696. Its totient is φ = 61072655155200.

The previous prime is 102002021011987. The next prime is 102002021012051. The reversal of 102002021012001 is 100210120200201.

It is not a de Polignac number, because 102002021012001 - 2¹⁴ = 102002020995617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102002021012051) 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, 1940909941 + ... + 1940962493.

It is an arithmetic number, because the mean of its divisors is an integer number (2346400300464).

Almost surely, 2^{102002021012001} is an apocalyptic number.

102002021012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002021012001 is a deficient number, since it is larger than the sum of its proper divisors (48167598217695).

102002021012001 is a wasteful number, since it uses less digits than its factorization.

102002021012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54702.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002021012001 its reverse (100210120200201), we get a palindrome (202212141212202).

The spelling of 102002021012001 in words is "one hundred two trillion, two billion, twenty-one million, twelve thousand, one".