101120002111010 has 128 divisors (see below), whose sum is σ = 189859636074240. Its totient is φ = 38748135960576.

The previous prime is 101120002110989. The next prime is 101120002111081. The reversal of 101120002111010 is 10111200021101.

101120002111010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101120002111010³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120002110982 and 101120002111000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4062826646 + ... + 4062851534.

It is an arithmetic number, because the mean of its divisors is an integer number (1483278406830).

Almost surely, 2^{101120002111010} is an apocalyptic number.

101120002111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120002111010 is a deficient number, since it is larger than the sum of its proper divisors (88739633963230).

101120002111010 is a wasteful number, since it uses less digits than its factorization.

101120002111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25732.

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

Adding to 101120002111010 its reverse (10111200021101), we get a palindrome (111231202132111).

The spelling of 101120002111010 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred eleven thousand, ten".