100102022000211 has 32 divisors (see below), whose sum is σ = 166486108594176. Its totient is φ = 51975191844000.

The previous prime is 100102022000209. The next prime is 100102022000213. The reversal of 100102022000211 is 112000220201001.

It is an interprime number because it is at equal distance from previous prime (100102022000209) and next prime (100102022000213).

It is not a de Polignac number, because 100102022000211 - 2¹ = 100102022000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102022000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107278395 + ... + 108207476.

It is an arithmetic number, because the mean of its divisors is an integer number (5202690893568).

Almost surely, 2^{100102022000211} is an apocalyptic number.

100102022000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102022000211 is a deficient number, since it is larger than the sum of its proper divisors (66384086593965).

100102022000211 is a wasteful number, since it uses less digits than its factorization.

100102022000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215487903.

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

Adding to 100102022000211 its reverse (112000220201001), we get a palindrome (212102242201212).

The spelling of 100102022000211 in words is "one hundred trillion, one hundred two billion, twenty-two million, two hundred eleven", and thus it is an aban number.