102001011113001 has 128 divisors (see below), whose sum is σ = 184754923831296. Its totient is φ = 48337173377280.

The previous prime is 102001011112999. The next prime is 102001011113003. The reversal of 102001011113001 is 100311110100201.

It is an interprime number because it is at equal distance from previous prime (102001011112999) and next prime (102001011113003).

It is not a de Polignac number, because 102001011113001 - 2¹ = 102001011112999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102001011113003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150294910 + ... + 150972056.

It is an arithmetic number, because the mean of its divisors is an integer number (1443397842432).

Almost surely, 2^{102001011113001} is an apocalyptic number.

102001011113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001011113001 is a deficient number, since it is larger than the sum of its proper divisors (82753912718295).

102001011113001 is a wasteful number, since it uses less digits than its factorization.

102001011113001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677771.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 102001011113001 its reverse (100311110100201), we get a palindrome (202312121213202).

The spelling of 102001011113001 in words is "one hundred two trillion, one billion, eleven million, one hundred thirteen thousand, one".