101001102120010 has 16 divisors (see below), whose sum is σ = 184292421951816. Its totient is φ = 39847010151168.

The previous prime is 101001102119989. The next prime is 101001102120031. The reversal of 101001102120010 is 10021201100101.

It is an interprime number because it is at equal distance from previous prime (101001102119989) and next prime (101001102120031).

It can be written as a sum of positive squares in 4 ways, for example, as 100019260927369 + 981841192641 = 10000963^2 + 990879^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69178836339 + ... + 69178837798.

Almost surely, 2^{101001102120010} is an apocalyptic number.

101001102120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001102120010 is a deficient number, since it is larger than the sum of its proper divisors (83291319831806).

101001102120010 is a wasteful number, since it uses less digits than its factorization.

101001102120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138357674217.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101001102120010 its reverse (10021201100101), we get a palindrome (111022303220111).

The spelling of 101001102120010 in words is "one hundred one trillion, one billion, one hundred two million, one hundred twenty thousand, ten".