101029292921 has 2 divisors, whose sum is σ = 101029292922. Its totient is φ = 101029292920.

The previous prime is 101029292801. The next prime is 101029292983. The reversal of 101029292921 is 129292920101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92778114025 + 8251178896 = 304595^2 + 90836^2 .

It is an emirp because it is prime and its reverse (129292920101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101029292921 - 2²² = 101025098617 is a prime.

It is not a weakly prime, because it can be changed into another prime (101029292521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50514646460 + 50514646461.

It is an arithmetic number, because the mean of its divisors is an integer number (50514646461).

Almost surely, 2^101029292921 is an apocalyptic number.

It is an amenable number.

101029292921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101029292921 is an equidigital number, since it uses as much as digits as its factorization.

101029292921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 101029292921 in words is "one hundred one billion, twenty-nine million, two hundred ninety-two thousand, nine hundred twenty-one".