101122010102001 has 64 divisors (see below), whose sum is σ = 159557253120000. Its totient is φ = 55745848166400.

The previous prime is 101122010101999. The next prime is 101122010102041. The reversal of 101122010102001 is 100201010221101.

It is not a de Polignac number, because 101122010102001 - 2¹ = 101122010101999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122010102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398995561 + ... + 399248921.

It is an arithmetic number, because the mean of its divisors is an integer number (2493082080000).

Almost surely, 2^{101122010102001} is an apocalyptic number.

It is an amenable number.

101122010102001 is a deficient number, since it is larger than the sum of its proper divisors (58435243017999).

101122010102001 is a wasteful number, since it uses less digits than its factorization.

101122010102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255310.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122010102001 its reverse (100201010221101), we get a palindrome (201323020323102).

The spelling of 101122010102001 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, one hundred two thousand, one".