100211211100220 has 48 divisors (see below), whose sum is σ = 229578665033088. Its totient is φ = 36439822858560.

The previous prime is 100211211100201. The next prime is 100211211100409. The reversal of 100211211100220 is 22001112112001.

It is a super-2 number, since 2×100211211100220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211211100195 and 100211211100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252839 + ... + 16912641.

It is an arithmetic number, because the mean of its divisors is an integer number (4782888854856).

Almost surely, 2^{100211211100220} is an apocalyptic number.

100211211100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211211100220 is an abundant number, since it is smaller than the sum of its proper divisors (129367453932868).

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

100211211100220 is a wasteful number, since it uses less digits than its factorization.

100211211100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719290 (or 7719288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211211100220 its reverse (22001112112001), we get a palindrome (122212323212221).

The spelling of 100211211100220 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, one hundred thousand, two hundred twenty".