102949101120 has 112 divisors (see below), whose sum is σ = 328136024448. Its totient is φ = 27346206720.

The previous prime is 102949101113. The next prime is 102949101127. The reversal of 102949101120 is 21101949201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102949101113) and next prime (102949101127).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102949101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38085 + ... + 455355.

Almost surely, 2^102949101120 is an apocalyptic number.

102949101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102949101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164068012224).

102949101120 is an abundant number, since it is smaller than the sum of its proper divisors (225186923328).

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

102949101120 is a wasteful number, since it uses less digits than its factorization.

102949101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417548 (or 417538 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 102949101120 in words is "one hundred two billion, nine hundred forty-nine million, one hundred one thousand, one hundred twenty".