101000112121010 has 64 divisors (see below), whose sum is σ = 192246168545280. Its totient is φ = 38098280249280.

The previous prime is 101000112121001. The next prime is 101000112121061. The reversal of 101000112121010 is 10121211000101.

It is a super-2 number, since 2×101000112121010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000112120982 and 101000112121000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243347765 + ... + 243762455.

It is an arithmetic number, because the mean of its divisors is an integer number (3003846383520).

Almost surely, 2^{101000112121010} is an apocalyptic number.

101000112121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000112121010 is a deficient number, since it is larger than the sum of its proper divisors (91246056424270).

101000112121010 is a wasteful number, since it uses less digits than its factorization.

101000112121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420591.

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

Adding to 101000112121010 its reverse (10121211000101), we get a palindrome (111121323121111).

The spelling of 101000112121010 in words is "one hundred one trillion, one hundred twelve million, one hundred twenty-one thousand, ten".