10201120020 has 192 divisors, whose sum is σ = 39060887040. Its totient is φ = 2152313856.

The previous prime is 10201120009. The next prime is 10201120031. The reversal of 10201120020 is 2002110201.

It is an interprime number because it is at equal distance from previous prime (10201120009) and next prime (10201120031).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10201119984 and 10201120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54657 + ... + 152936.

It is an arithmetic number, because the mean of its divisors is an integer number (203442120).

Almost surely, 2^10201120020 is an apocalyptic number.

10201120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201120020 is an abundant number, since it is smaller than the sum of its proper divisors (28859767020).

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

10201120020 is a wasteful number, since it uses less digits than its factorization.

10201120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207631 (or 207623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201120020 its reverse (2002110201), we get a palindrome (12203230221).

The spelling of 10201120020 in words is "ten billion, two hundred one million, one hundred twenty thousand, twenty".