100100011049961 has 128 divisors (see below), whose sum is σ = 151651480780800. Its totient is φ = 58319339351040.

The previous prime is 100100011049881. The next prime is 100100011049981. The reversal of 100100011049961 is 169940110001001.

It is a happy number.

It is not a de Polignac number, because 100100011049961 - 2¹⁹ = 100100010525673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100011049981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10124401960 + ... + 10124411846.

It is an arithmetic number, because the mean of its divisors is an integer number (1184777193600).

Almost surely, 2^{100100011049961} is an apocalyptic number.

It is an amenable number.

100100011049961 is a deficient number, since it is larger than the sum of its proper divisors (51551469730839).

100100011049961 is a wasteful number, since it uses less digits than its factorization.

100100011049961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11199.

The product of its (nonzero) digits is 1944, while the sum is 33.

The spelling of 100100011049961 in words is "one hundred trillion, one hundred billion, eleven million, forty-nine thousand, nine hundred sixty-one".