101053420520 has 128 divisors (see below), whose sum is σ = 259393276800. Its totient is φ = 35122553856.

The previous prime is 101053420487. The next prime is 101053420543. The reversal of 101053420520 is 25024350101.

It is a super-3 number, since 3×101053420520³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518587 + ... + 1583733.

It is an arithmetic number, because the mean of its divisors is an integer number (2026509975).

Almost surely, 2^101053420520 is an apocalyptic number.

101053420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101053420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129696638400).

101053420520 is an abundant number, since it is smaller than the sum of its proper divisors (158339856280).

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

101053420520 is a wasteful number, since it uses less digits than its factorization.

101053420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65347 (or 65343 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 101053420520 its reverse (25024350101), we get a palindrome (126077770621).

The spelling of 101053420520 in words is "one hundred one billion, fifty-three million, four hundred twenty thousand, five hundred twenty".