102121000101131 has 8 divisors (see below), whose sum is σ = 111404800580400. Its totient is φ = 92837211821440.

The previous prime is 102121000101091. The next prime is 102121000101149. The reversal of 102121000101131 is 131101000121201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121000101131 is a prime.

It is a super-2 number, since 2×102121000101131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121000101151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30476855 + ... + 33661263.

It is an arithmetic number, because the mean of its divisors is an integer number (13925600072550).

Almost surely, 2^{102121000101131} is an apocalyptic number.

102121000101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102121000101131 is a deficient number, since it is larger than the sum of its proper divisors (9283800479269).

102121000101131 is a wasteful number, since it uses less digits than its factorization.

102121000101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099789.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102121000101131 its reverse (131101000121201), we get a palindrome (233222000222332).

The spelling of 102121000101131 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one thousand, one hundred thirty-one".