101012010000192 has 42 divisors (see below), whose sum is σ = 289532688387618. Its totient is φ = 33670669999872.

The previous prime is 101012010000169. The next prime is 101012010000287. The reversal of 101012010000192 is 291000010210101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97829981937216 + 3182028062976 = 9890904^2 + 1783824^2 .

It is a super-2 number, since 2×101012010000192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87684035883 + ... + 87684037034.

Almost surely, 2^{101012010000192} is an apocalyptic number.

101012010000192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012010000192 is an abundant number, since it is smaller than the sum of its proper divisors (188520678387426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012010000192 is a wasteful number, since it uses less digits than its factorization.

101012010000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175368072935 (or 175368072922 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101012010000192 its reverse (291000010210101), we get a palindrome (392012020210293).

The spelling of 101012010000192 in words is "one hundred one trillion, twelve billion, ten million, one hundred ninety-two", and thus it is an aban number.