100211002020 has 288 divisors, whose sum is σ = 316303094016. Its totient is φ = 25660800000.

The previous prime is 100211002007. The next prime is 100211002033. The reversal of 100211002020 is 20200112001.

It is an interprime number because it is at equal distance from previous prime (100211002007) and next prime (100211002033).

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 = 100211001993 and 100211002011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252420462 + ... + 252420858.

It is an arithmetic number, because the mean of its divisors is an integer number (1098274632).

Almost surely, 2^100211002020 is an apocalyptic number.

100211002020 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 100211002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158151547008).

100211002020 is an abundant number, since it is smaller than the sum of its proper divisors (216092091996).

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

100211002020 is a wasteful number, since it uses less digits than its factorization.

100211002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

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

Adding to 100211002020 its reverse (20200112001), we get a palindrome (120411114021).

The spelling of 100211002020 in words is "one hundred billion, two hundred eleven million, two thousand, twenty".