101111212001 has 32 divisors (see below), whose sum is σ = 111623920128. Its totient is φ = 91197583360.

The previous prime is 101111211991. The next prime is 101111212021. The reversal of 101111212001 is 100212111101.

It is not a de Polignac number, because 101111212001 - 2¹⁸ = 101110949857 is a prime.

It is a super-2 number, since 2×101111212001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111212021) 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, 23839241 + ... + 23843481.

It is an arithmetic number, because the mean of its divisors is an integer number (3488247504).

Almost surely, 2^101111212001 is an apocalyptic number.

It is an amenable number.

101111212001 is a deficient number, since it is larger than the sum of its proper divisors (10512708127).

101111212001 is a wasteful number, since it uses less digits than its factorization.

101111212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111212001 its reverse (100212111101), we get a palindrome (201323323102).

The spelling of 101111212001 in words is "one hundred one billion, one hundred eleven million, two hundred twelve thousand, one".