20021010102100 has 216 divisors, whose sum is σ = 51662192053920. Its totient is φ = 6713231374080.

The previous prime is 20021010102043. The next prime is 20021010102101. The reversal of 20021010102100 is 120101012002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021010102101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45414334 + ... + 45853066.

Almost surely, 2^{20021010102100} is an apocalyptic number.

20021010102100 is a gapful number since it is divisible by the number (20) 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 20021010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831096026960).

20021010102100 is an abundant number, since it is smaller than the sum of its proper divisors (31641181951820).

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

20021010102100 is a wasteful number, since it uses less digits than its factorization.

20021010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438967 (or 438953 counting only the distinct ones).

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

Adding to 20021010102100 its reverse (120101012002), we get a palindrome (20141111114102).

The spelling of 20021010102100 in words is "twenty trillion, twenty-one billion, ten million, one hundred two thousand, one hundred".