100102101022211 has 8 divisors (see below), whose sum is σ = 101114891274144. Its totient is φ = 99089735875200.

The previous prime is 100102101022141. The next prime is 100102101022223. The reversal of 100102101022211 is 112220101201001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102101022211 - 2³⁴ = 100084921153027 is a prime.

It is a super-2 number, since 2×100102101022211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102101022241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105802886 + ... + 106744811.

It is an arithmetic number, because the mean of its divisors is an integer number (12639361409268).

Almost surely, 2^{100102101022211} is an apocalyptic number.

100102101022211 is a deficient number, since it is larger than the sum of its proper divisors (1012790251933).

100102101022211 is a wasteful number, since it uses less digits than its factorization.

100102101022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212552461.

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

Adding to 100102101022211 its reverse (112220101201001), we get a palindrome (212322202223212).

The spelling of 100102101022211 in words is "one hundred trillion, one hundred two billion, one hundred one million, twenty-two thousand, two hundred eleven".