100210120029 has 64 divisors (see below), whose sum is σ = 153526517760. Its totient is φ = 64560240000.

The previous prime is 100210120019. The next prime is 100210120039. The reversal of 100210120029 is 920021012001.

It is an interprime number because it is at equal distance from previous prime (100210120019) and next prime (100210120039).

It is not a de Polignac number, because 100210120029 - 2⁴ = 100210120013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210119993 and 100210120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210120019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81404844 + ... + 81406074.

It is an arithmetic number, because the mean of its divisors is an integer number (2398851840).

Almost surely, 2^100210120029 is an apocalyptic number.

It is an amenable number.

100210120029 is a deficient number, since it is larger than the sum of its proper divisors (53316397731).

100210120029 is a wasteful number, since it uses less digits than its factorization.

100210120029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100210120029 in words is "one hundred billion, two hundred ten million, one hundred twenty thousand, twenty-nine".