101002112001091 has 32 divisors (see below), whose sum is σ = 118468081904000. Its totient is φ = 86072976138240.

The previous prime is 101002112001083. The next prime is 101002112001121. The reversal of 101002112001091 is 190100211200101.

It is not a de Polignac number, because 101002112001091 - 2³ = 101002112001083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002112091091) 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, 110029051 + ... + 110943211.

It is an arithmetic number, because the mean of its divisors is an integer number (3702127559500).

Almost surely, 2^{101002112001091} is an apocalyptic number.

101002112001091 is a deficient number, since it is larger than the sum of its proper divisors (17465969902909).

101002112001091 is an equidigital number, since it uses as much as digits as its factorization.

101002112001091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916044 (or 916030 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 101002112001091 its reverse (190100211200101), we get a palindrome (291102323201192).

The spelling of 101002112001091 in words is "one hundred one trillion, two billion, one hundred twelve million, one thousand, ninety-one".