101020002021120 has 576 divisors, whose sum is σ = 406771405415424. Its totient is φ = 20794251018240.

The previous prime is 101020002021097. The next prime is 101020002021167. The reversal of 101020002021120 is 21120200020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101020002021096 and 101020002021105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10801539 + ... + 17852541.

It is an arithmetic number, because the mean of its divisors is an integer number (706200356624).

Almost surely, 2^{101020002021120} is an apocalyptic number.

101020002021120 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 101020002021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203385702707712).

101020002021120 is an abundant number, since it is smaller than the sum of its proper divisors (305751403394304).

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

101020002021120 is a wasteful number, since it uses less digits than its factorization.

101020002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051088 (or 7051074 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020002021120 its reverse (21120200020101), we get a palindrome (122140202041221).

The spelling of 101020002021120 in words is "one hundred one trillion, twenty billion, two million, twenty-one thousand, one hundred twenty".