101122010111001 has 32 divisors (see below), whose sum is σ = 149320575000576. Its totient is φ = 60361581080000.

The previous prime is 101122010110993. The next prime is 101122010111021. The reversal of 101122010111001 is 100111010221101.

It is a cyclic number.

It is not a de Polignac number, because 101122010111001 - 2³ = 101122010110993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122010111021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78786531 + ... + 80059736.

It is an arithmetic number, because the mean of its divisors is an integer number (4666267968768).

Almost surely, 2^{101122010111001} is an apocalyptic number.

101122010111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122010111001 is a deficient number, since it is larger than the sum of its proper divisors (48198564889575).

101122010111001 is a wasteful number, since it uses less digits than its factorization.

101122010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158846573.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101122010111001 its reverse (100111010221101), we get a palindrome (201233020332102).

The spelling of 101122010111001 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, one hundred eleven thousand, one".