101211102101000 has 32 divisors (see below), whose sum is σ = 236833978918680. Its totient is φ = 40484440840000.

The previous prime is 101211102100991. The next prime is 101211102101009. The reversal of 101211102101000 is 101201112101.

It is an interprime number because it is at equal distance from previous prime (101211102100991) and next prime (101211102101009).

It can be written as a sum of positive squares in 4 ways, for example, as 6647496819076 + 94563605281924 = 2578274^2 + 9724382^2 .

It is a super-2 number, since 2×101211102101000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211102101009) 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, 50605550051 + ... + 50605552050.

Almost surely, 2^{101211102101000} is an apocalyptic number.

101211102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211102101000 is an abundant number, since it is smaller than the sum of its proper divisors (135622876817680).

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

101211102101000 is a wasteful number, since it uses less digits than its factorization.

101211102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101211102122 (or 101211102108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211102101000 its reverse (101201112101), we get a palindrome (101312303213101).

The spelling of 101211102101000 in words is "one hundred one trillion, two hundred eleven billion, one hundred two million, one hundred one thousand".