100102000211220 has 192 divisors, whose sum is σ = 321277063790592. Its totient is φ = 22812606720000.

The previous prime is 100102000211189. The next prime is 100102000211333. The reversal of 100102000211220 is 22112000201001.

It is a super-2 number, since 2×100102000211220² (a number of 29 digits) contains 22 as substring.

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 = 100102000211196 and 100102000211205.

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, 358763565 + ... + 359042475.

It is an arithmetic number, because the mean of its divisors is an integer number (1673318040576).

Almost surely, 2^{100102000211220} is an apocalyptic number.

100102000211220 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 100102000211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160638531895296).

100102000211220 is an abundant number, since it is smaller than the sum of its proper divisors (221175063579372).

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

100102000211220 is a wasteful number, since it uses less digits than its factorization.

100102000211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281462 (or 281460 counting only the distinct ones).

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

Adding to 100102000211220 its reverse (22112000201001), we get a palindrome (122214000412221).

The spelling of 100102000211220 in words is "one hundred trillion, one hundred two billion, two hundred eleven thousand, two hundred twenty".