101021020120 has 128 divisors (see below), whose sum is σ = 239155156800. Its totient is φ = 38367232000.

The previous prime is 101021020103. The next prime is 101021020127. The reversal of 101021020120 is 21020120101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101021020097 and 101021020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021020127) 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, 9767592 + ... + 9777928.

Almost surely, 2^101021020120 is an apocalyptic number.

101021020120 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 101021020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119577578400).

101021020120 is an abundant number, since it is smaller than the sum of its proper divisors (138134136680).

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

101021020120 is a wasteful number, since it uses less digits than its factorization.

101021020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101021020120 its reverse (21020120101), we get a palindrome (122041140221).

It can be divided in two parts, 1010210 and 20120, that added together give a triangular number (1030330 = T₁₄₃₅).

The spelling of 101021020120 in words is "one hundred one billion, twenty-one million, twenty thousand, one hundred twenty".