10101211432032 has 96 divisors (see below), whose sum is σ = 30875401089792. Its totient is φ = 2831606429184.

The previous prime is 10101211432019. The next prime is 10101211432051. The reversal of 10101211432032 is 23023411210101.

10101211432032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10101211432032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141771598 + ... + 141842829.

It is an arithmetic number, because the mean of its divisors is an integer number (321618761352).

Almost surely, 2^{10101211432032} is an apocalyptic number.

10101211432032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101211432032 is an abundant number, since it is smaller than the sum of its proper divisors (20774189657760).

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

10101211432032 is a wasteful number, since it uses less digits than its factorization.

10101211432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283614500 (or 283614492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10101211432032 its reverse (23023411210101), we get a palindrome (33124622642133).

The spelling of 10101211432032 in words is "ten trillion, one hundred one billion, two hundred eleven million, four hundred thirty-two thousand, thirty-two".