101040212560 has 160 divisors (see below), whose sum is σ = 281580406272. Its totient is φ = 32967137280.

The previous prime is 101040212527. The next prime is 101040212561. The reversal of 101040212560 is 65212040101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040212561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517450 + ... + 2557270.

Almost surely, 2^101040212560 is an apocalyptic number.

101040212560 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 101040212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790203136).

101040212560 is an abundant number, since it is smaller than the sum of its proper divisors (180540193712).

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

101040212560 is a wasteful number, since it uses less digits than its factorization.

101040212560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40061 (or 40055 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 101040212560 its reverse (65212040101), we get a palindrome (166252252661).

It can be divided in two parts, 101040 and 212560, that added together give a square (313600 = 560²).

The spelling of 101040212560 in words is "one hundred one billion, forty million, two hundred twelve thousand, five hundred sixty".