10020210221100 has 144 divisors (see below), whose sum is σ = 29319135795488. Its totient is φ = 2641941135360.

The previous prime is 10020210221081. The next prime is 10020210221117. The reversal of 10020210221100 is 112201202001.

It is a super-2 number, since 2×10020210221100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29893632 + ... + 30226968.

Almost surely, 2^{10020210221100} is an apocalyptic number.

10020210221100 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 10020210221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659567897744).

10020210221100 is an abundant number, since it is smaller than the sum of its proper divisors (19298925574388).

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

10020210221100 is a wasteful number, since it uses less digits than its factorization.

10020210221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334484 (or 334477 counting only the distinct ones).

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

Adding to 10020210221100 its reverse (112201202001), we get a palindrome (10132411423101).

The spelling of 10020210221100 in words is "ten trillion, twenty billion, two hundred ten million, two hundred twenty-one thousand, one hundred".