100122010999957 has 32 divisors (see below), whose sum is σ = 108202785320448. Its totient is φ = 92291075874816.

The previous prime is 100122010999939. The next prime is 100122010999979. The reversal of 100122010999957 is 759999010221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122010999957 - 2³⁹ = 99572255186069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122010999898 and 100122010999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122010909957) 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, 2342397528 + ... + 2342440270.

It is an arithmetic number, because the mean of its divisors is an integer number (3381337041264).

Almost surely, 2^{100122010999957} is an apocalyptic number.

100122010999957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100122010999957 is a deficient number, since it is larger than the sum of its proper divisors (8080774320491).

100122010999957 is a wasteful number, since it uses less digits than its factorization.

100122010999957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47349.

The product of its (nonzero) digits is 918540, while the sum is 55.

The spelling of 100122010999957 in words is "one hundred trillion, one hundred twenty-two billion, ten million, nine hundred ninety-nine thousand, nine hundred fifty-seven".