101025562720 has 192 divisors, whose sum is σ = 274598553600. Its totient is φ = 34868551680.

The previous prime is 101025562717. The next prime is 101025562723. The reversal of 101025562720 is 27265520101.

It is an interprime number because it is at equal distance from previous prime (101025562717) and next prime (101025562723).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101025562723) 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, 1570551 + ... + 1633609.

It is an arithmetic number, because the mean of its divisors is an integer number (1430200800).

Almost surely, 2^101025562720 is an apocalyptic number.

101025562720 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 101025562720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137299276800).

101025562720 is an abundant number, since it is smaller than the sum of its proper divisors (173572990880).

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

101025562720 is a wasteful number, since it uses less digits than its factorization.

101025562720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63141 (or 63133 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 101025562720 in words is "one hundred one billion, twenty-five million, five hundred sixty-two thousand, seven hundred twenty".