101033011001032 has 48 divisors (see below), whose sum is σ = 208308093705180. Its totient is φ = 45905554611840.

The previous prime is 101033011000973. The next prime is 101033011001051. The reversal of 101033011001032 is 230100110330101.

It can be written as a sum of positive squares in 2 ways, for example, as 98464857318916 + 2568153682116 = 9922946^2 + 1602546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101033011000997 and 101033011001015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18670683 + ... + 23466154.

Almost surely, 2^{101033011001032} is an apocalyptic number.

It is an amenable number.

101033011001032 is an abundant number, since it is smaller than the sum of its proper divisors (107275082704148).

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

101033011001032 is a wasteful number, since it uses less digits than its factorization.

101033011001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42139342 (or 42139327 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101033011001032 its reverse (230100110330101), we get a palindrome (331133121331133).

The spelling of 101033011001032 in words is "one hundred one trillion, thirty-three billion, eleven million, one thousand, thirty-two".