101002220112101 has 32 divisors (see below), whose sum is σ = 126094694347776. Its totient is φ = 78596895888000.

The previous prime is 101002220112043. The next prime is 101002220112107. The reversal of 101002220112101 is 101211022200101.

It is a de Polignac number, because none of the positive numbers 2^k-101002220112101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002220112107) 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, 567616721 + ... + 567794633.

It is an arithmetic number, because the mean of its divisors is an integer number (3940459198368).

Almost surely, 2^{101002220112101} is an apocalyptic number.

101002220112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002220112101 is a deficient number, since it is larger than the sum of its proper divisors (25092474235675).

101002220112101 is a wasteful number, since it uses less digits than its factorization.

101002220112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187833.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002220112101 its reverse (101211022200101), we get a palindrome (202213242312202).

The spelling of 101002220112101 in words is "one hundred one trillion, two billion, two hundred twenty million, one hundred twelve thousand, one hundred one".