10202121100020 has 96 divisors (see below), whose sum is σ = 29056514457600. Its totient is φ = 2673864503424.

The previous prime is 10202121099983. The next prime is 10202121100051. The reversal of 10202121100020 is 2000112120201.

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 = 10202121099969 and 10202121100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15851661 + ... + 16482699.

It is an arithmetic number, because the mean of its divisors is an integer number (302672025600).

Almost surely, 2^{10202121100020} is an apocalyptic number.

10202121100020 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 10202121100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528257228800).

10202121100020 is an abundant number, since it is smaller than the sum of its proper divisors (18854393357580).

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

10202121100020 is a wasteful number, since it uses less digits than its factorization.

10202121100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635677 (or 635675 counting only the distinct ones).

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

Adding to 10202121100020 its reverse (2000112120201), we get a palindrome (12202233220221).

The spelling of 10202121100020 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred thousand, twenty".